Here is the full list of all 74 Crash Bandicoot N. Sane Trilogy achievements. It takes around 40-50 hours to unlock all of the achievements on Windows.
Just "forget" it. Repeatedly.
Shoot 5 of them in a single level.
Avoid whatever he's flinging at you.
Have your bazooka ready.
Shoot the Imposter
Shoot a background UFO in Future Tense.
Earn the Gems in the bonus levels
Discovered the Secret Exit in Road Crash
Earn 42 Gems
Seek and destroy. Again.
Earn 99 Lives
Earn 21 Gems
Earn 30 Relics (gold or better)
Discovered the Secret Exit in Dino Might!
Earn 10 Relics (gold or better)
Discover a Gem Path after earning a Color Gem
Defeat N. Cortex
Discover a Death Route
Defeat N. Gin
Earn 5 Relics
Defeat 5 enemies with Coco's Savage Hurricane Spin
Die.
Defeat N. Tropy
Defeat 5 enemies with Coco's Double Leg Drop
Defeat Dingodile
Defeat Tiny Tiger
Discover a "?" Bonus Path
Don't feel guilty about jumping on him.
Earn 27 Relics (gold or better)
Discover the Secret Exit in Diggin' It
Unlocked the Secret Exit in Unbearable
Discover the Secret Exit in Bear Down
Discover the Secret Exit in Air Crash
Unlocked the Secret Exit in Hangin' Out
Die as Crash.
Defeat the Komodo Brothers
Fly, then die.
Defeat Ripper Roo
Do hard time
Seek and destroy
Earn 26 Gems
Earn 26 Relics (gold or better)
Earn 13 Gems
Defeat N. Brio
Earn the Key in Jaws of Darkness
Defeat Pinstripe Potoroo
Miss a lot of boxes.
Defeat Koala Kong
Earn the Key in Sunset Vista
Defeat 5 enemies with Coco's Spin
Defeat Papu-Papu
Enter a Bonus Round after collecting 3 Character Tokens
In a single level, spin an enemy into another enemy twice
Spin away an Extra Life